w=lnsecx+tgx
dw= 1/secx+tgx * (-1/cosx^2 *-senx +secx^2)dx=
dw= cosxdx
cosxe^w-1=rq(1-cosx^2)
e^2wcosx^2-2cosxe^w+1=1-cosx^2
cosx^2(e^2w+1)-2cosxe^w=0
cosx= 2e^w/(e^2w+1)=2/(e^w+e^-w)=1/coshw
I w *coshw dw
u= w
du=dw
dv=coshwdw
v= senhw
I ln(sec x+tgx)dx= w*senhw-Isenhwdw= wsenhw-coshw
=`(n(secx+tgx) -1/cosx


On 7/31/07, antonio ricardo <[EMAIL PROTECTED]> wrote:
>
> ola
> poderiam me ajudar a resolver a seguinte integral
>
> integral de ln(secx + tgx)
>
> valeu
>
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